If x^2 + 1/x^2 = 98 find x + 1/x

1 answer:

5 0

Given,

x
2
+
x
2

1

=98

(x+
x
1

)
2
=x
2
+
x
2

1

+2

98+2=100

∴x+
x
1

=10

(x+
x
1

)
3
=x
3
+
x
3

1

+3(x+
x
1

)

x
3
+
x
3

1

+3(x+
x
1

)=1000

x
3
+
x
3

1

=1000−3(10)=

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